Carter is solving for x by the process of completing the square for the following
problem:

3x^2+ 12x-24 = 0

He got to this point below:

Type the number that goes in the "?" spot:

(x+?)2 = 12

Answers

Answer 1

Answer:

The number that goes in place of the question mark is 2.

Step-by-step explanation:

Let's solve it!

3x² + 12x - 24 = 0

First we can factor 3 out of each term:

x² + 4x - 8 = 0

Now we'll add 12 to both sides to complete the square:

x² + 4x + 4 = 12

And finish it off:

(x + 2)² = 12

So the answer to the question is 2

Bonus:

We can also now solve this for x:

(x + 2)² = 12

x = √12 - 2

x = 2√3 - 2

x ≈ 2 × ±1.732 - 2

x ≈ 1.464, -5.464


Related Questions

Impossible question for me plz help

Answers

Answer:

The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.

One that is is parallel and passes through (-4, 7) will be in the same format, just with another number.  The given point has an x-coordinate of -4, so the line is:

x = -4

PLEASE HELP
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?

A.painting preference and total number of students
B.painting preference and number of students in class 1
C.class number and painting preference
D.class number and number who prefer oil

Answers

Answer:

D. class number and number who prefer oil

Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.

Answers

Answer:

D.

Step-by-step explanation:

I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once

Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.

What is probability?

Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.

Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.

In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.

Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ2

Will give brainliest answer please help

Answers

Answer:

[tex]a^{2}(24a^{2}+36a+12)[/tex]

Step-by-step explanation:

Area of rectangle= Length*Width

so [tex](6a^{2}+9a+3)*4a^{2}[/tex]   multiply each coefficient of a times 4a^2

[tex]24a^{4}+36a^{3}+12a^{2}[/tex]  then take a^2 common factor so it will be

[tex]a^{2}(24a^{2}+36a+12)[/tex]=area

I just need the answer the work isn't necessary

Answers

Answer:

57°

Step-by-step explanation:

Vertical angles theorem states that vertical angles are congruent.

Arcs EF and are intercepted by vertical angles, therefore:

mAB = mEF = 36°

Angle addition postulate.

mABD = mAB + mBD

Central angle has same measure with intercepted arc.

mBD = m∠BCD = 21°

So the arc ABD is:

mABD = 36° + 21° = 57°

Can you help me with these 2 articles? pls

Answers

Answer:

no jooopoooopooopoopoo

A sketch of a new dog park in town is shown below. How many square feet will the dogs have to roam
and play?

Answers

Answer:

they will have 432 ft to play

please help asap 20 points
Which properties describe a RECTANGULAR PRISM?

A) 4 faces, 6 vertices, 8 edges

B) 4 faces, 8 vertices, 12 edges

C) 6 faces, 8 vertices, 12 edges

D) 6 faces, 6 vertices, 8 edges​

Answers

Answer:

C) 6 faces, 8 vertices, 12 edges

Step-by-step explanation:

6 faces: base and top face (2) and side faces (4)

8 vertices: 4 on the top, 4 on the bottom

12 edges: 4 on the top, 4 on the bottom, 4 on the sides

Answer:

I'm pretty sure the answer is C

hi pls help me in math im soo stuck:(((plss​

Answers

Answer/Step-by-step explanation:

a. First, find the value of a.

Sum of the interior angles of a triangle = 180° (triangle sum theorem)

Therefore:

3a + 2a + a = 180°

Add like terms

6a = 180°

6a/6 = 180/6

a = 30

Thus:

a = 30°

2a = 2(30) = 60°

3a = 3(30) = 90°

b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.

Therefore, sum of the isosceles triangle would be:

2(2x) + 5x = 180°

4x + 5x = 180

9x = 180

9x/9 = 180/9

x = 20

Thus:

2x = 2(20) = 40

5x = 5(20) = 100

Pre calculus law of sines

Answers

Answer:

AB = 6.5

Step-by-step explanation:

C = 59°

AC = 7

CD = 6

AB = ?

Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)

AB² = 7² + 6² - 2(7)(6)*Cos(59)

AB² = 85 - 43.26

AB² = 41.74

AB = √41.74

AB = 6.5 (nearest tenth)

Cuál es el costo mínimo para la construcción de una caja abierta cuya base rectangular tenga una longitud igual al doble del ancho y su volumen sea 72 metros cúbicos? el material para la base cuesta $50 el metro cuadrado y el de los lados $25 el metro cuadrado​

Answers

Answer:

???

Step-by-step explanation:

Find the measure of 46.
62°
16
46 = [?]

Answers

Answer:

118

Step-by-step explanation:

62+ m<6=180

180-62=118

m<6=118

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°


PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?
20 cm
24 cm
26 cm
2√194cm

Answers

AB = BD = 10cm

Now using the Pythagorean theorem:

26^2 = 10^2 + BC^2

Simplify:

676 = 100 + BC^2

Subtract 100 from both sides:

576 = BC^2

Take the square root of both sides:

BC - sqrt(576)

BC  =  24 cm

20.) Which inequality represents the solution on the graph?*

Answers

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

.[tex]3x \geq -9\\x \geq -3[/tex]

doesn't match

2.

[tex]-7x\geq 21\\x\leq -3[/tex]

Does match, so this is the answer.

find the value of each of the four remaining trigonometric functions

Answers

Answer:

tanФ = [tex]\frac{\sqrt{2}}{2}[/tex], cscФ = 3, secФ = [tex]\frac{3\sqrt{2} }{4}[/tex], cotФ = [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

tanФ=   [tex]\frac{1}{2\sqrt{2} } =\frac{2\sqrt{2}}{8} =\frac{\sqrt{2} }{2}[/tex]

cscФ=   [tex]3[/tex]

secФ=   [tex]\frac{3}{2\sqrt{2}} =\frac{6\sqrt{2}}{8} =\frac{3\sqrt{2}}{4}[/tex]

cotФ= [tex]2\sqrt{2}[/tex]

9 times (3+2)= (9 times ) +(9 times ) =

Answers

Answer:

9(3+2) = 45

9 * 9 = 81

Step-by-step explanation:

its 81 trust


i dont know how to explain its 81 though



10. Solve for z: 2 + 8 - z = -24

Answers

Answer:

The answer is z = 34.

Step-by-step explanation:

1) Simplify 2 + 8 - z to 10 - z.

[tex]10 - z = - 24[/tex]

2) Subtract 10 from both sides.

[tex] - z = - 24 - 10[/tex]

3) Simplify - 24 - 10 to -34.

[tex] - z = - 34[/tex]

4) Multiply both sides by -1.

[tex]z = 34[/tex]

Therefor, the answer is z = 34.

what is the GCF of 8b and 16a?

Answers

there is no greatest common factor
The greatest common factor is 8

The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?​

Answers

Answer:

15.78

Step-by-step explanation:

4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78

Find the errors and correct the following mathematical sentences.​

Answers

Answer:

This is your answer

Can someone help please!! Thank you

Answers

2nd answer (not similar, sides are not proportional)

2/3 of a number is 8 what is the number?

Answers

Answer:

12

Step-by-step explanation:

8/ (2/3) = 12

The value of number is,

⇒ x = 12

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

2/3 of a number is 8

Let us assume that,

A number is, x

Hence, We can formulate;

⇒2/3 of x = 8

⇒ 2/3 × x = 8

⇒ 2x = 3 × 8

⇒ 2x = 24

⇒ x = 12

Thus, The value of number is,

⇒ x = 12

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

21) A frozen yogurt store sells a small bowl of frozen yogurt for $2.50 plus $0.75 per topping. They sell a large bowl of frozen yogurt for $4.00 plus $0.50 per topping. For how many toppings will a small bowl of frozen yogurt cost the same as a large bowl of frozen yogurt?

Answers

Answer:

Two toppings and a small bowl of frozen yogurt will cost the same as a large bowl of frozen yogurt.

Step-by-step explanation:

2.50 + .75x = 4.00

4.00 - 2.50 = 1.50

1.50/.75 = 2

2 toppings

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6) and all outcomes
are equally likely. P(less than 5)

Answers

Hahahahahahahahahahah

What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please

Answers

Answer:

1/12 * (-4x+3)

Step-by-step explanation:

1/3x + 1/4 - 2/3x

1/12 * (4x+3-8x)

1/12 * (-4x+3)

8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.​

Answers

Answer: 2/3

Step-by-step explanation:

12 lightbulbs and 4 are broken

12-4=8

8/12

/2

4/6

/2

2/3

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-14,3) (2,-5)

Answers

Answer:

Step-by-step explanation:

The slope of a line can be determined by any two points on the line and is defined as

m=(y2-y1)/(x2-x1),

We are given points (-14,3) and (2,-5) so

m=(-5-3)/(2-(-14))

m=(-8)/(16)

m= -1/2. (Answer F)

A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?

Answers

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

trust me brotha plz give me like

Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.

Answers

9514 1404 393

Answer:

  B.  f(x) → 1

Step-by-step explanation:

When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...

  f(x) = x^2/x^2 = 1

The function value approaches 1 for very large x.

HELP PLZ DUE IN 10 MIN PLZ I WILL GIVE 200 point if right PLZ

Answers

Answer:

(3,1)

Step-by-step explanation:

Answer:

3,1

Step-by-step explanation:

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